Given numbers are 560,638,118,232,420

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 560,638,118,232,420 is 31619280.

Find LCM of 560,638,118,232,420 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 2 x 5 x 7 x 29 x 2 x 11 x 59 x 1 x 3 = 31619280

Therefore, the lowest common multiple of 560,638,118,232,420 is 31619280.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

560 x 638 x 118 x 232 x 420 = 4107976857600

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

638 : 1, 2, 11, 22, 29, 58, 319, 638

118 : 1, 2, 59, 118

232 : 1, 2, 4, 8, 29, 58, 116, 232

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 560,638,118,232,420, is 2.

Now, the common factors can be found like this.

560:2x 2x 2x 2x 5x 7

638:2x 11x 29

118:2x 59

232:2x 2x 2x 29

420:2x 2x 3x 5x 7

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 2x 2x 2x 5x 7x 29 = 64960

Therefore, the value for common factors is 64960.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 4107976857600/(2x64960)

LCM = 4107976857600/129920

LCM = 31619280

Thus, we can understand that the LCM of 560,638,118,232,420 is 31619280.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 406, 892, 661, 630, 675
• LCM of 328, 649, 746, 218, 529
• LCM of 480, 208, 760, 209, 627
• LCM of 622, 941, 248, 921, 805
• LCM of 189, 394, 523, 246, 463

1. What is the LCM of 560, 638, 118, 232, 420?

Answer: LCM of 560, 638, 118, 232, 420 is 31619280.

2. How to calculate the LCM of 560, 638, 118, 232, 420?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 560, 638, 118, 232, 420.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.